Haskell Prime Ongoing efforts for the language revision Discrete mathematics Number Theory Library Andrew Bromage's Haskell number theory library, providing operations on primes, fibonacci sequences and combinatorics. This operations is usually more efficient than enumFromThenTo. A library for boxed vectors (that is, polymorphic arrays capable of holding any Haskell value). ( Log Out / Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Vector a -> c (Vector a) #, gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Vector a) #, dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Vector a)) #, dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Vector a)) #, gmapT :: (forall b. create :: (forall s. ST s (MVector s a)) -> Vector a Source #. initRS records the robot’s initial state (noting that it starts out facing north, corresponding to an angle of as measured clockwise from the positive -axis). So, in C++ std::vector has faster "snoc" (putting objects at the end) than any pure linked list data structure I know of, although this is not a persistant data structure so less friendly than Haskell's lists. version of findIndex. enumFromTo :: Enum a => a -> a -> Vector a Source #. unsafeLastM :: Monad m => Vector a -> m a Source #. Right elements and the second containing the Left elements. O(n) Check if all elements satisfy the predicate. elements. Vector is a Haskell library for working with arrays. generator function to the already constructed part of the vector. The vector must O(m+n) For each pair (i,a) from the list, replace the vector First, whenever we are talking about a vector in the abstract, let’s write v, and … O(n) Enumerate values from x to y with a specific step z. Same as accum but without bounds checking. index, yielding a vector of results, mapM_ :: Monad m => (a -> m b) -> Vector a -> m () Source #, O(n) Apply the monadic action to all elements of a vector and ignore the constructrN :: Int -> (Vector a -> a) -> Vector a Source #. L is an unit lower triangular matrix. element and its index), all :: (a -> Bool) -> Vector a -> Bool Source #. Reanimate is built on vector graphics, including support for intro spection. Hackage has been online since January 2007 and is constantly growing. maxIndexBy :: (a -> a -> Ordering) -> Vector a -> Int Source #. relative order of the elements is preserved at the cost of a sometimes indexed :: Vector a -> Vector (Int, a) Source #, O(n) Pair each element in a vector with its index, map :: (a -> b) -> Vector a -> Vector b Source #, imap :: (Int -> a -> b) -> Vector a -> Vector b Source #, O(n) Apply a function to every element of a vector and its index, concatMap :: (a -> Vector b) -> Vector a -> Vector b Source #. vector of results, izipWithM :: Monad m => (Int -> a -> b -> m c) -> Vector a -> Vector b -> m (Vector c) Source #, O(min(m,n)) Zip the two vectors with a monadic action that also takes O(n) Execute the monadic action the given number of times and store the zipWith4 :: (a -> b -> c -> d -> e) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e Source #, zipWith5 :: (a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f Source #, zipWith6 :: (a -> b -> c -> d -> e -> f -> g) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector g Source #, izipWith :: (Int -> a -> b -> c) -> Vector a -> Vector b -> Vector c Source #. Haskell 表現は何百万画素の2D、アンボックス化されたピクセル配列に推奨されますか? explanation of why this is useful. modify :: (forall s. MVector s a -> ST s ()) -> Vector a -> Vector a Source #. The vector must Create a mutable vector of the given length (0 if the length is negative) and fill it with values produced by repeatedly executing the monadic action. The choice of basis is just a choice of representation. dropWhile :: (a -> Bool) -> Vector a -> Vector a Source #. Same as (//) but without bounds checking. but slightly more efficient. Mathematically, this corresponds to adding up a bunch of vectors, but the interesting point is that the instructions are always relative to the robot’s current state, so robot programs are imperative programs. The generator function yields Just O(1) Yield the first n elements without copying. We’ll definitely be doing more geometry, but for the next post I feel like doing something different. Haskell'98 supports just one array constructor type, namely Array, which gives you immutable boxed arrays. The order of the elements is not preserved but the operation is often The other thing we are going to need for this problem is angles. unsafeIndexM :: Monad m => Vector a -> Int -> m a Source #. So the question is – how can we rewrite a vector in a differentbasis without changing the vector itself? First, some imports: We make a data type for representing robot instructions, and a corresponding Scanner. any :: (a -> Bool) -> Vector a -> Bool Source #. unsafeUpdate :: Vector a -> Vector (Int, a) -> Vector a Source #. empty. Haskell, therefore, does not treat arrays as general functions with an application operation, but as abstract data types with a subscript operation. :: Vector a -> Int -> Maybe a Source #, unsafeIndex :: Vector a -> Int -> a Source #, O(1) Unsafe indexing without bounds checking, O(1) First element without checking if the vector is empty, O(1) Last element without checking if the vector is empty, indexM :: Monad m => Vector a -> Int -> m a Source #. break :: (a -> Bool) -> Vector a -> (Vector a, Vector a) Source #. index vector by xs!i. O(1) First element of a vector in a monad. Same as accumulate_ but without bounds checking. O(n) Split the vector in two parts, the first one containing those the element index and yield a vector of results, zipWithM_ :: Monad m => (a -> b -> m c) -> Vector a -> Vector b -> m () Source #, O(min(m,n)) Zip the two vectors with the monadic action and ignore the unfoldr :: (b -> Maybe (a, b)) -> b -> Vector a Source #. and its index), ifoldr :: (Int -> a -> b -> b) -> b -> Vector a -> b Source #, O(n) Right fold (function applied to each element and its index), ifoldr' :: (Int -> a -> b -> b) -> b -> Vector a -> b Source #, O(n) Right fold with strict accumulator (function applied to each performed in place if it is safe to do so and will modify a copy of the The vectors come in two flavours: and support a rich interface of both list-like operations, and bulk With indexM, copying can be implemented like this instead: Here, no references to v are retained because indexing (but not the minIndexBy :: (a -> a -> Ordering) -> Vector a -> Int Source #. Safe Haskell None Language Haskell98 Graphics.Gloss.Data.Vector Description Geometric functions concerning vectors. O(n) Yield the maximum element of the vector. lastM :: Monad m => Vector a -> m a Source #. Data.Vector.Unboxed Unboxed if no such element exists. The reason for making V2 polymorphic in the first place, though, is that some problems require the use of exact integer arithmetic. x+y+y etc. O(n) Check if any element satisfies the predicate. O(n) Construct a vector by repeatedly applying the generator function The vector product :: Num a => Vector a -> a Source #, maximum :: Ord a => Vector a -> a Source #. It’s nice to be able to share code where we can, and have the type system enforce what we can and can’t do with vectors over various scalar types. results, izipWithM_ :: Monad m => (Int -> a -> b -> m c) -> Vector a -> Vector b -> m () Source #, O(min(m,n)) Zip the two vectors with a monadic action that also takes corresponding value b from the the value vector, its shape), and you could do similarly. replicate :: Int -> a -> Vector a Source #, O(n) Vector of the given length with the same value in each position, generate :: Int -> (Int -> a) -> Vector a Source #, O(n) Construct a vector of the given length by applying the function to unstablePartition :: (a -> Bool) -> Vector a -> (Vector a, Vector a) Source #. new seed or Nothing if there are no more elements. Executing a single instruction is where the geometry happens: we look up the current robot state, calculate its new heading by adding the turn angle to the current heading, construct a movement vector in the direction of the new heading using polar coordinates, and add the movement to the current position. gloss: Painless 2D vector graphics, animations and simulations. unsafeTail :: Vector a -> Vector a Source #. ascending order. The vector may not be I invite you to solve Checking Break. array operations. Change ), You are commenting using your Google account. values and their indices, uniq :: Eq a => Vector a -> Vector a Source #, mapMaybe :: (a -> Maybe b) -> Vector a -> Vector b Source #, O(n) Drop elements when predicate returns Nothing, imapMaybe :: (Int -> a -> Maybe b) -> Vector a -> Vector b Source #, O(n) Drop elements when predicate, applied to index and value, returns Nothing, filterM :: Monad m => (a -> m Bool) -> Vector a -> m (Vector a) Source #, O(n) Drop elements that do not satisfy the monadic predicate, takeWhile :: (a -> Bool) -> Vector a -> Vector a Source #. P,Q are permutation matrices. Note that splitAt n v is equivalent to (take n v, drop n v) This site uses Akismet to reduce spam. Or, if by base you mean some dimension on the units, using dimensional types. O(n) Yield the minimum element of the vector. The vector may not contain less than n elements in which case it is returned unchanged. O(1) Yield a slice of the vector without copying it. the generator function to a seed. O(n) Yield the index of the maximum element of the vector. We call this the vector space model of 2D space; the vector \((x, y)\) represents a point. results, imapM_ :: Monad m => (Int -> a -> m b) -> Vector a -> m () Source #, O(n) Apply the monadic action to every element of a vector and its the next element and the new seed or Nothing if there are no more -- Construct a vector in polar coordinates. explanation of why this is useful. izipWith3 :: (Int -> a -> b -> c -> d) -> Vector a -> Vector b -> Vector c -> Vector d Source #. elements' indices. thaw :: PrimMonad m => Vector a -> m (MVector (PrimState m) a) Source #. Apply a destructive operation to a vector. Change ), You are commenting using your Twitter account. gloss-1.13.1.1: Painless 2D vector graphics, animations and simulations. corresponding value a from the value vector, replace the element of the O(min(m,n)) Zip two vectors with a function that also takes the The main data types are boxed and unboxed arrays, and arrays may be immutable (pure), or mutable. Mutable boxed vectors keyed on the monad they live in (IO or ST s). O(n) Yield the index of the minimum element of the vector. Barnes-Hut 2D gravity simulation in Haskell using Data.Vector and the Gloss graphics package. unsafeCopy :: PrimMonad m => MVector (PrimState m) a -> Vector a -> m () Source #. Zip three vectors and their indices with the given function. element and its index), foldM'_ :: Monad m => (a -> b -> m a) -> a -> Vector b -> m () Source #, O(n) Monadic fold with strict accumulator that discards the result, ifoldM'_ :: Monad m => (a -> Int -> b -> m a) -> a -> Vector b -> m () Source #, O(n) Monadic fold with strict accumulator that discards the result The vector O(1) Last element in a monad without checking for empty vectors. O(n) Drop the longest prefix of elements that satisfy the predicate minIndex :: Ord a => Vector a -> Int Source #. It has an emphasis on very high performance through loop fusion, whilst retaining a rich interface. 私は、簡単に足を濡らすプログラムをプロットすることから始めて、ハズケルで遊んでいます。 2D配列/ベクトルを画像ファイルに保存できるライブラリが必要です。 私は色のリストを書いたくありません。 See indexM for an explanation of why this is useful. the predicate and the rest without copying. The vector may not be empty. span :: (a -> Bool) -> Vector a -> (Vector a, Vector a) Source #. O(n) Yield the argument but force it not to retain any extra memory, See indexM for an O(n) Apply function n times to value. But in a competitive programming context I have always just used a single type for both and it hasn’t bit me (yet!). or Nothing if no such element exists. O(n) Yield the index of the maximum element of the vector according to be empty. be empty but this is not checked. The output is a V2D, so we just convert it to a list with F.toList and use printf to format each coordinate. ( Log Out / For unboxed arrays, use Data.Vector.Unboxed. FRAN is a Haskell library (or "embedded language") for interactive animations with 2D and 3D graphics and sound. partitionWith :: (a -> Either b c) -> Vector a -> (Vector b, Vector c) Source #. Какое представление Haskell рекомендуется для 2D, распакованных пиксельных массивов с миллионами пикселей? replace the element of the initial vector at Now we just put the pieces together to solve the problem. This is equivalent to map (xs!) unsafeAccum :: (a -> b -> a) -> Vector a -> [(Int, b)] -> Vector a Source #. So, yep, this is almost a commodity technique in Haskell now, and there's some examples of designing with types like this to help you get started. VectorソフトウェアライブラリのOS別トップページです。動作OS別にソフトを分類しています。 ご使用のOSを選択し、ジャンル別に分類されたファイルを探索してください。 Same as update_ but without bounds checking. results. Two main approaches to functional arrays may be discerned: incremental and monolithic definition. This is not checked. Magic Cookies! maxIndex :: Ord a => Vector a -> Int Source #. elements that satisfy the predicate and the second one those that don't. holding any Haskell value). O(n) Construct a vector with n elements by repeatedly applying the izipWith4 :: (Int -> a -> b -> c -> d -> e) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e Source #, izipWith5 :: (Int -> a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f Source #, izipWith6 :: (Int -> a -> b -> c -> d -> e -> f -> g) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector g Source #, zip :: Vector a -> Vector b -> Vector (a, b) Source #, zip3 :: Vector a -> Vector b -> Vector c -> Vector (a, b, c) Source #, zip together three vectors into a vector of triples, zip4 :: Vector a -> Vector b -> Vector c -> Vector d -> Vector (a, b, c, d) Source #, zip5 :: Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector (a, b, c, d, e) Source #, zip6 :: Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector (a, b, c, d, e, f) Source #, zipWithM :: Monad m => (a -> b -> m c) -> Vector a -> Vector b -> m (Vector c) Source #, O(min(m,n)) Zip the two vectors with the monadic action and yield a Frag, a 3D first-person shooter game. ( Log Out / The generator function yields Just the next element and the O(1) Yield all but the first n elements without copying. etc. unfoldrNM :: Monad m => Int -> (b -> m (Maybe (a, b))) -> b -> m (Vector a) Source #, constructN :: Int -> (Vector a -> a) -> Vector a Source #. The two vectors must O(n) Yield the maximum element of the vector according to the given O(1) Yield all but the last element without copying. foldl :: (a -> b -> a) -> a -> Vector b -> a Source #, foldl1 :: (a -> a -> a) -> Vector a -> a Source #, foldl' :: (a -> b -> a) -> a -> Vector b -> a Source #, foldl1' :: (a -> a -> a) -> Vector a -> a Source #, O(n) Left fold on non-empty vectors with strict accumulator, foldr :: (a -> b -> b) -> b -> Vector a -> b Source #, foldr1 :: (a -> a -> a) -> Vector a -> a Source #, foldr' :: (a -> b -> b) -> b -> Vector a -> b Source #, O(n) Right fold with a strict accumulator, foldr1' :: (a -> a -> a) -> Vector a -> a Source #, O(n) Right fold on non-empty vectors with strict accumulator, ifoldl :: (a -> Int -> b -> a) -> a -> Vector b -> a Source #, O(n) Left fold (function applied to each element and its index), ifoldl' :: (a -> Int -> b -> a) -> a -> Vector b -> a Source #, O(n) Left fold with strict accumulator (function applied to each element unfoldrM :: Monad m => (b -> m (Maybe (a, b))) -> b -> m (Vector a) Source #. Execute the monadic action and freeze the resulting vector. unfoldrN :: Int -> (b -> Maybe (a, b)) -> b -> Vector a Source #. A lights-out clone for. a at position i by f a b. O(m+n) For each pair (i,b) from the vector of pairs, replace the vector Change ). O(n) Yield Just the index of the first occurence of the given element or position i by f a b. {-# LANGUAGE GeneralizedNewtypeDeriving #-}, ------------------------------------------------------------. Change ), You are commenting using your Facebook account. Post was not sent - check your email addresses! One needs to have access to a pointer first to get their hands-on data. ( Log Out / C++ Vector vs Array . O(n) Yield Just the index of the first element matching the predicate without copying. Map a function over a vector and concatenate the results. findIndex :: (a -> Bool) -> Vector a -> Maybe Int Source #. 45 Haskell 46 Hy 47 Icon and Unicon 48 Ioke 49 Isabelle 50 J 51 Java 52 JavaScript 52.1 ES5 52.2 ES6 52.2.1 Built-in 52.2.2 Recursive 52.2.3 Iterative 53 Joy 54 jq 55 Jsish 56 Julia 57 K 58 Kotlin 59 Lasso 60 LFE 61 Logo 62 63 explanation of why this is useful. O(1) Indexing in a monad without bounds checks. have the same length. See indexM for an Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. O(m+n) For each pair (i,a) from the vector of index/value pairs, The vector may not be enumFromStepN instead. O(1) Yield at the first n elements without copying. unsafeFreeze :: PrimMonad m => MVector (PrimState m) a -> m (Vector a) Source #. The vector The immutable vector may not be used after this operation. may not be empty. Reset all elements of the vector to some undefined value, clearing all references to Equivalent to flip mapM. headM :: Monad m => Vector a -> m a Source #. the given comparison function. vector of results. initRS records the robot’s initial state (noting that it starts out facing north -axis). I challenged you to solve Vacuumba, which asks us to figure out where a robot ends up after following a sequence of instructions. O(m+n) For each pair (i,b) from the list, replace the vector element Sorry, your blog cannot share posts by email. faster than partition. next element and the new seed or Nothing if there are no more elements. replace the vector element at position i by a. O(m+min(n1,n2)) For each index i from the index vector and the possibly by copying it. backpermute :: Vector a -> Vector Int -> Vector a Source #. minimum :: Ord a => Vector a -> a Source #. A linear transformation must fix the origin, and a nonzero translation must not. The vector may not unsafeHeadM :: Monad m => Vector a -> m a Source #. O(n) Construct a vector with at most n elements by repeatedly applying It runs on Hugs under Windows 95 and Windows NT, using Win32 graphics (GDI). element and its index), fold1M :: Monad m => (a -> a -> m a) -> Vector a -> m a Source #, fold1M' :: Monad m => (a -> a -> m a) -> Vector a -> m a Source #, O(n) Monadic fold over non-empty vectors with strict accumulator, foldM_ :: Monad m => (a -> b -> m a) -> a -> Vector b -> m () Source #, O(n) Monadic fold that discards the result, ifoldM_ :: Monad m => (a -> Int -> b -> m a) -> a -> Vector b -> m () Source #, O(n) Monadic fold that discards the result (action applied to each O(min(m,n)) Zip two vectors with the given function. The operation will be Zeroth element is original value. Execute the monadic action and freeze the resulting vectors. O(1) First element in a monad without checking for empty vectors. O(n) Yield the vector obtained by replacing each element i of the often much more efficient. O(n) Split the vector in two parts, the first one containing those It also gets us things like sum and maximum which could occasionally come in handy. If at all possible, use maximumBy :: (a -> a -> Ordering) -> Vector a -> a Source #. partition :: (a -> Bool) -> Vector a -> (Vector a, Vector a) Source #. Matrix LU decomposition with complete pivoting.The result for a matrix M is given in the format (U,L,P,Q,d,e) where:U is an upper triangular matrix. O(n) Yield Just the first element matching the predicate or Nothing O(n) Yield the indices of elements satisfying the predicate in ascending elemIndex :: Eq a => a -> Vector a -> Maybe Int Source #. unsafeThaw :: PrimMonad m => Vector a -> m (MVector (PrimState m) a) Source #. O(n) Split the vector into the longest prefix of elements that satisfy contain less than n elements in which case an empty vector is returned. The vector may not The first order of business is to code up some primitives for dealing with (2D) vectors. may not be empty. The function accumulate provides the same functionality and is usually more We can scale, shear, reflect, or rotate with a linear transformation, but never translate. O(n) Yield the index of the minimum element of the vector according to [ graphics , library , mit ] [ Propose Tags ] Gloss hides the pain of drawing simple vector graphics behind a … It is structured as follows: Data.Vector Boxed vectors of arbitrary types. O(1) Yield all but the last element without copying. In my previous post (apologies it has been so long!) Equivalent to flip mapM_. O(n) Yield the indices of all occurences of the given element in zipWith3 :: (a -> b -> c -> d) -> Vector a -> Vector b -> Vector c -> Vector d Source #. comparison function. basicLength :: MVector s a -> Int Source #, basicUnsafeSlice :: Int -> Int -> MVector s a -> MVector s a Source #, basicOverlaps :: MVector s a -> MVector s a -> Bool Source #, basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) a) Source #, basicInitialize :: PrimMonad m => MVector (PrimState m) a -> m () Source #, basicUnsafeReplicate :: PrimMonad m => Int -> a -> m (MVector (PrimState m) a) Source #, basicUnsafeRead :: PrimMonad m => MVector (PrimState m) a -> Int -> m a Source #, basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) a -> Int -> a -> m () Source #, basicClear :: PrimMonad m => MVector (PrimState m) a -> m () Source #, basicSet :: PrimMonad m => MVector (PrimState m) a -> a -> m () Source #, basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) a -> MVector (PrimState m) a -> m () Source #, basicUnsafeMove :: PrimMonad m => MVector (PrimState m) a -> MVector (PrimState m) a -> m () Source #, basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) a -> Int -> m (MVector (PrimState m) a) Source #, (!?)

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